A remark on the gradient map
Documenta mathematica, Tome 19 (2014), pp. 1017-1023
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For a Hamiltonian action of a compact group U of isometries on a compact Kähler manifold Z and a compatible subgroup G of UC, we prove that for any closed G-invariant subset Y⊂Z the image of the gradient map μp​(Y) is independent of the choice of the invariant Kähler form ω in its cohomology class [ω].
DOI : 10.4171/dm/472
Classification : 53D20
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     author = {L. Biliotti and A. Ghigi and P. Heinzner},
     title = {A remark on the gradient map},
     journal = {Documenta mathematica},
     pages = {1017--1023},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/472},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/472/}
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L. Biliotti; A. Ghigi; P. Heinzner. A remark on the gradient map. Documenta mathematica, Tome 19 (2014), pp. 1017-1023. doi: 10.4171/dm/472

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